{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "import scipy.stats as stats\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "plt.style.use(['seaborn-colorblind', 'seaborn-darkgrid'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 2.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.  ,  0.15,  0.4 ,  0.45,  0.  ])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ways = np.array([0, 3, 8, 9, 0])\n",
    "ways / ways.sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 2.2\n",
    "\n",
    "$$Pr(w \\mid n, p) =  \\frac{n!}{w!(n − w)!} p^w (1 − p)^{n−w}$$\n",
    "\n",
    "\n",
    "The probability of observing six W’s in nine tosses—under a value of p=0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.16406250000000006"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.binom.pmf(6, n=9, p=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 2.3 and 2.5\n",
    "\n",
    "Computing the posterior using a grid approximation.\n",
    "\n",
    "In the book the following code is not inside a function, but this way is easier to play with different parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def posterior_grid_approx(grid_points=5, success=6, tosses=9):\n",
    "    \"\"\"\n",
    "    \"\"\"\n",
    "    # define grid\n",
    "    p_grid = np.linspace(0, 1, grid_points)\n",
    "\n",
    "    # define prior\n",
    "    prior = np.repeat(5, grid_points)  # uniform\n",
    "    #prior = (p_grid >= 0.5).astype(int)  # truncated\n",
    "    #prior = np.exp(- 5 * abs(p_grid - 0.5))  # double exp\n",
    "\n",
    "    # compute likelihood at each point in the grid\n",
    "    likelihood = stats.binom.pmf(success, tosses, p_grid)\n",
    "\n",
    "    # compute product of likelihood and prior\n",
    "    unstd_posterior = likelihood * prior\n",
    "\n",
    "    # standardize the posterior, so it sums to 1\n",
    "    posterior = unstd_posterior / unstd_posterior.sum()\n",
    "    return p_grid, posterior"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 2.3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwoAAAIpCAYAAAACd88NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSM7/AacBDkLX1fvTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc1be825208>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 276,
       "width": 389
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = 20\n",
    "w, n = 6, 9\n",
    "p_grid, posterior = posterior_grid_approx(points, w, n)\n",
    "plt.plot(p_grid, posterior, 'o-', label='success = {}\\ntosses = {}'.format(w, n))\n",
    "plt.xlabel('probability of water', fontsize=14)\n",
    "plt.ylabel('posterior probability', fontsize=14)\n",
    "plt.title('{} points'.format(points))\n",
    "plt.legend(loc=0);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 2.6\n",
    "\n",
    "Computing the posterior using the quadratic approximation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "logp = -1.8075, ||grad|| = 1.5: 100%|██████████| 7/7 [00:00<00:00, 120.75it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(array(0.6666666671652423), array([ 0.15713484]))"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = np.repeat((0, 1), (3, 6))\n",
    "with pm.Model() as normal_approximation:\n",
    "    p = pm.Uniform('p', 0, 1)\n",
    "    w = pm.Binomial('w', n=len(data), p=p, observed=data.sum())\n",
    "    mean_q = pm.find_MAP()\n",
    "    std_q = ((1/pm.find_hessian(mean_q, vars=[p]))**0.5)[0]\n",
    "mean_q['p'], std_q"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.41553484,  0.91779849])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "norm = stats.norm(mean_q, std_q)\n",
    "prob = .89\n",
    "z = stats.norm.ppf([(1-prob)/2, (1+prob)/2])\n",
    "pi = mean_q['p'] + std_q * z \n",
    "pi"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 2.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAv8AAAIrCAYAAAB4VPYbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQgghhDAT/wegvocE+j246QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc1a9cda400>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 277,
       "width": 383
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# analytical calculation\n",
    "w, n = 6, 9\n",
    "x = np.linspace(0, 1, 100)\n",
    "plt.plot(x, stats.beta.pdf(x , w+1, n-w+1),\n",
    "         label='True posterior')\n",
    "\n",
    "# quadratic approximation\n",
    "plt.plot(x, stats.norm.pdf(x, mean_q['p'], std_q),\n",
    "         label='Quadratic approximation')\n",
    "plt.legend(loc=0, fontsize=13)\n",
    "\n",
    "plt.title('n = {}'.format(n), fontsize=14)\n",
    "plt.xlabel('Proportion water', fontsize=14)\n",
    "plt.ylabel('Density', fontsize=14);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was createad on a computer x86_64 running debian stretch/sid and using:\n",
      "Python 3.6.2\n",
      "IPython 6.1.0\n",
      "PyMC3 3.2\n",
      "NumPy 1.13.3\n",
      "SciPy 0.19.1\n",
      "Matplotlib 2.1.0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import sys, IPython, scipy, matplotlib, platform\n",
    "print(\"This notebook was createad on a computer %s running %s and using:\\nPython %s\\nIPython %s\\nPyMC3 %s\\nNumPy %s\\nSciPy %s\\nMatplotlib %s\\n\" % (platform.machine(), ' '.join(platform.linux_distribution()[:2]), sys.version[:5], IPython.__version__, pm.__version__, np.__version__, scipy.__version__, matplotlib.__version__))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
